What is the Greatest Common Factor of 62750 and 62770?

Greatest common factor (GCF) of 62750 and 62770 is 10.

GCF(62750,62770) = 10

We will now calculate the prime factors of 62750 and 62770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62750 and 62770.

How to find the GCF of 62750 and 62770?

We will first find the prime factorization of 62750 and 62770. After we will calculate the factors of 62750 and 62770 and find the biggest common factor number .

Step-1: Prime Factorization of 62750

Prime factors of 62750 are 2, 5, 251. Prime factorization of 62750 in exponential form is:

62750 = 2¹ × 5³ × 251¹

Step-2: Prime Factorization of 62770

Prime factors of 62770 are 2, 5, 6277. Prime factorization of 62770 in exponential form is:

62770 = 2¹ × 5¹ × 6277¹

Step-3: Factors of 62750

List of positive integer factors of 62750 that divides 62750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 251, 502, 1255, 2510, 6275, 12550, 31375

Step-4: Factors of 62770

List of positive integer factors of 62770 that divides 62750 without a remainder.

1, 2, 5, 10, 6277, 12554, 31385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62750 and 62770. The biggest common factor number is the GCF number.
So the greatest common factor 62750 and 62770 is 10.

Also check out the Least Common Multiple of 62750 and 62770